I heard that Franky Tjahyadikarta is intent on bettering Aman. In his dreams. Alila is a very poor substitute, from my experience. Not even GHM level.
I remember when Banyan Tree thought they could better Aman.....
Nobody has done it yet and I suspect nobody will because nobody really understands how Aman works. There are no manuals, no operating instructions, no real hierarchy. Aman is a very right brain business (intuitive, creative), whereas most, if not all others are totally left brain (logical).